1. 5.4 Sum and Difference Formulas

2. Addition and Subtract of the Sine function With the sine function the sign between the expressions stays the same.

3. Find the Sine of u + v

4. Find the Sine of u - v

5. Addition and Subtract of the Cosine function With the cosine function the sign between the expressions change.

6. Find the Cosine of u + v

7. Find the Cosine of u - v

8. Addition and Subtract of the Tangent function Both are Rational expressions

9. Find the Tangent of u + v

10. Find the Tangent of u + v

11. Find the Tangent of u - v

12. Find the Tangent of u - v

13. Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

14. Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

15. Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

16. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

17. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

18. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

19. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

20. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

21. Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

22. Break up the angle and find Sin, Cos and Tan Tan can be done two ways.

23. Sin u = 5/13 What is Cos u ?

24. Sin u = 5/13 What is Cos u ?

25. Find cos(arc cos x – arc tan x) Let u = arc cos x v = arc tan x

26. Find cos(arc cos x – arc tan x)

27. Find cos(arc cos x – arc tan x)

28. Homework Page 384 – 385 # 1, 7, 17, 25, 31, 42, 53, 60, 71, 74

29. Homework Page 384 – 385 # 4,10, 20, 28, 37, 47, 59, 62, 70, 73